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Finding the Fourth Proportional to 306,803.84, 459,340.56 and 162,382.48

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Solution

The fourth proportional to 306,803.84, 459,340.56 and 162,382.48 is: 243,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,803.84 : 459,340.56 = 162,382.48 : x
  2. Step 2: Convert to fraction form
    306,803.84/459,340.56 = 162,382.48/x
  3. Step 3: Cross multiply
    306,803.84x = 459,340.56 × 162,382.48
  4. Step 4: Simplify right side
    306,803.84x = 74,588,859,297.39
  5. Step 5: Solve for x
    x = 74,588,859,297.39/306,803.84
  6. Step 6: Final answer
    x = 243,115.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.